Well, let's take a moment to appreciate these numbers. The greatest common factor, or GCF, is the largest number that divides evenly into all three numbers. By looking at the factors of each number, we find that the GCF of 126, 210, and 252 is 42. Just like painting, finding the GCF is a peaceful process of exploring and discovering the beauty of numbers.
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The factors of 126 are:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 210 are:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 252 are:
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The common factors are:
1, 2, 3, 6, 7, 14, 21, 42
The Greatest Common Factor (GCF) is:
42
The GCF of 210, 252, and 294 is 42
Well, isn't that just a happy little question! To find the greatest common factor of 126 and 252, we can list the factors of each number and see which is the largest one they have in common. The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126, and the factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252. The greatest common factor of 126 and 252 is 126, which means they both can be divided evenly by 126.
The GCF is 7.
The GCF of 210 and 450 is 30.
The GCF is 18.